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Finding the Fourth Proportional to 929.88, 1,283.45 and 598.86

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Solution

The fourth proportional to 929.88, 1,283.45 and 598.86 is: 826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.88 : 1,283.45 = 598.86 : x
  2. Step 2: Convert to fraction form
    929.88/1,283.45 = 598.86/x
  3. Step 3: Cross multiply
    929.88x = 1,283.45 × 598.86
  4. Step 4: Simplify right side
    929.88x = 768,603.87
  5. Step 5: Solve for x
    x = 768,603.87/929.88
  6. Step 6: Final answer
    x = 826.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.